document.write( "Question 964173: find the number of ways in which 4 men and 5 women can line up in a queue so that the tallest woman is in front of the tallest man \n" ); document.write( "

Algebra.Com's Answer #589088 by Edwin McCravy(20055) $\"\"$ $\"About$

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find the number of ways in which 4 men and 5 women can line up in a queue so that
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document.write( "The number of ways the 9 people can line up without restriction as to whether the\r\n" );
document.write( "tallest woman is in line ahead of or behind the tallest man, is 9! ways.  But in\r\n" );
document.write( "exactly half of those 9! ways, the tallest woman was ahead of the tallest man,\r\n" );
document.write( "and in exactly half of those 9! ways, the tallest woman was behind the tallest man.\r\n" );
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document.write( "So the answer is  = 181440 ways.\r\n" );
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document.write( "Edwin

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